Construction of Rotation Symmetric Boolean Functions on Odd Number of Variables with Maximum Algebraic Immunity
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Publication:5386105
DOI10.1007/978-3-540-77224-8_32zbMath1193.94063OpenAlexW1554311607MaRDI QIDQ5386105
Sumanta Sarkar, Subhamoy Maitra
Publication date: 17 April 2008
Published in: Applied Algebra, Algebraic Algorithms and Error-Correcting Codes (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-540-77224-8_32
Related Items (24)
A new construction of odd-variable rotation symmetric Boolean functions with optimal algebraic immunity and higher nonlinearity ⋮ Constructing even-variable RSBFs with higher nonlinearity, optimal AI and almost optimal FAI ⋮ Constructions of balanced odd-variable rotation symmetric Boolean functions with optimal algebraic immunity and high nonlinearity ⋮ Boolean functions with maximum algebraic immunity: further extensions of the Carlet-Feng construction ⋮ Secondary constructions of Boolean functions with maximum algebraic immunity ⋮ Balanced \(2p\)-variable rotation symmetric Boolean functions with optimal algebraic immunity, good nonlinearity, and good algebraic degree ⋮ Constructing odd-variable RSBFs with optimal algebraic immunity, good nonlinearity and good behavior against fast algebraic attacks ⋮ A new construction of rotation symmetric Boolean functions with optimal algebraic immunity and higher nonlinearity ⋮ New constructions of even-variable rotation symmetric Boolean functions with maximum algebraic immunity ⋮ On the algebraic immunity -- resiliency trade-off, implications for Goldreich's pseudorandom generator ⋮ Construction and count of 1-resilient rotation symmetric Boolean functions ⋮ On the construction of multi-output Boolean functions with optimal algebraic immunity ⋮ On extended algebraic immunity ⋮ Construction of rotation symmetric Boolean functions with optimal algebraic immunity and high nonlinearity ⋮ A construction method of balanced rotation symmetric Boolean functions on arbitrary even number of variables with optimal algebraic immunity ⋮ On the Conjecture About the Linear Structures of Rotation Symmetric Boolean Functions ⋮ Constructions of even-variable RSBFs with optimal algebraic immunity and high nonlinearity ⋮ A systematic method of constructing Boolean functions with optimal algebraic immunity based on the generator matrix of the Reed-Muller code ⋮ Balanced \(2^k\)-variable rotation symmetric Boolean functions with optimal algebraic immunity ⋮ Construction and enumeration of Boolean functions with maximum algebraic immunity ⋮ Simpler proof for nonlinearity of majority function ⋮ A class of rotation symmetric Boolean functions with optimum algebraic immunity ⋮ A new construction of odd-variable rotation symmetric Boolean functions with good cryptographic properties ⋮ Balanced odd-variable rotation symmetric Boolean functions with optimal algebraic immunity and higher nonlinearity
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